On the Existence of Solutions for Anisotropic \(\vec {p}\)-Laplacian Problems by the Variational Method

The aim of this paper is to establish the existence of infinitely many solutions for a class of anisotropic \(\vec {p}\) $\overrightarrow{p}$ -Laplacian problems with Dirichlet boundary conditions, depending on two real parameters. These problems have a variational structure and some critical point theorems are applied. We also give an example to illustrate the obtained results.